Electrical Power Utilization over Time

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Electricity will normally be consumed when it is needed, at . However, if the price is very high at , or the electrical system risks blackouts, consumers need to delay their consumption, to take advantage of the lower price before the peak occurs. The utilization from consuming it at or at is lower. The following four synchronous dynamic graphs show: the utilization over time for any KWh (upper left); the fixed-time utilization (lower left); the time, KWh total curves (lower right) and the three-dimensional utilization function (upper right), where is a general price level. Initially, the - and KWh-parameters show a normal consumer, with the following utilization function:

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with , an electricity price given by , some income and some fixed level for .

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Contributed by: Christos Papahristodoulou (September 2019)
(Mälardalen University, Sweden)
Open content licensed under CC BY-NC-SA


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